This paper contains results for economies with infinite dimensional commodity space. (1) We establish a convexity of closure of aggregate demand set for economies with an atomless measure space of agents and non-separable Dedekind complete Riesz commodity space. (2) Under the assumption of boundedness of the set of all individual endowments, we establish the core-Walras equivalence theorem. This result includes as a special case Aumann and Hildenbrand finite dimensional theorems.